We look at the division of 5874 by 34 
Our goal is to divide 5874 by 34.

Advancing to step 1:
When dividing 5 by 34, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 34

Advancing to step 2:
If we divide 58 by 34, we get 1 and a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 34 from 58 and we're left with 24.
Fetch the next digit (7) from the dividend, attach it to 24 and continue: 247 / 34

On to step 3:
When dividing 247 by 34, we get 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 17.0
If we subtract 238 from 247, we get 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 34

Let's proceed to step 4:
94 divided by 34 is 2 with a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 172.0
Subtracting 68 from 94 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 5:
The number 34 fits into 260 7 times, leaving a remainder of 22.
Put 7 as the next digit of the answer. 
Result so far: 172.7
Subtracting 238 from 260 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 6:
If we divide 220 by 34, we get 6 and a remainder of 16.
The next digit of our result is 6. 
Result so far: 172.76
If we take 204 away from 220, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
34 can be fit into 160 4 times, resulting in a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 172.764
Subtract 136 from 160 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
When dividing 240 by 34, we get 7 with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 172.7647
If we subtract 238 from 240, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
The number 34 fits into 20 0 times, leaving a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 172.7647
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 10:
The number 34 fits into 200 5 times, leaving a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 172.764705
If we subtract 170 from 200, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 11:
The number 34 fits into 300 8 times, leaving a remainder of 28.
The next digit of our result is 8. 
Result so far: 172.7647058
If we subtract 272 from 300, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 12:
When dividing 280 by 34, we get 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 172.76470588
If we subtract 272 from 280, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 172.76470588 with a balance of 8e-09.